Finding the Third Proportional to 123,560 and 269,776

Step by Step Solution

1. Step 1: Write the proportion equation
   123,560 : 269,776 = 269,776 : x
2. Step 2: Convert to fraction form
   123,560/269,776 = 269,776/x
3. Step 3: Cross multiply
   123,560x = 269,776 × 269,776
4. Step 4: Simplify right side
   123,560x = 72,779,090,176
5. Step 5: Solve for x
   x = 72,779,090,176/123,560
6. Step 6: Final answer
   x = 589,018.21